Onsider the solid obtained by rotating the region bounded by the given curves about the y-axis. y = x^2/16 text(, ) x = 2 text(, ) y = 0 find the volume v of this solid.

The volume of solid will be cubic unit

Step-by-step explanation:

Given: The given curves

Rotation about y-axis to form a solid bounded by given curve, x=2 and y=0.

Please see the attachment for figure.

Volume of solid rotation about y-axis using cylindrical shell method.

where,

a is lower limit (a=0)

b is upper limit (b=2)

r is radius (r=x)

h is height ()

using the above formula the volume of solid we get

Hence, The volume of solid will be

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step-by-step explanation: